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A company can use cotton to produce gloves, hats, and shirts. The profit on a pair...

A company can use cotton to produce gloves, hats, and shirts. The profit on a pair of gloves(G) is $5, the profit on a hat(H) is $9, and the profit on a shirt(S) is $10. The items are produced according to the following production functions:

G = 36CG

H = 23CH - 0.5CH2

S = 80CS - CS2

where CG, CH, and CS are the pounds of cotton.

There are 120 pounds of cotton available. How many pounds of cotton should be used to make shirts (CS)?

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Answer #1

Answer MaximizeToal Prt -5G+9H t los - 5(36 C4) t 9(231-DC +lo( 30cs- Subject do C4 t Cnt C 20 agrange given y 120-4 -) irst

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